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Finding the Fourth Proportional to 415.55, 623 and 168.74

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Solution

The fourth proportional to 415.55, 623 and 168.74 is: 252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.55 : 623 = 168.74 : x
  2. Step 2: Convert to fraction form
    415.55/623 = 168.74/x
  3. Step 3: Cross multiply
    415.55x = 623 × 168.74
  4. Step 4: Simplify right side
    415.55x = 105,125.02
  5. Step 5: Solve for x
    x = 105,125.02/415.55
  6. Step 6: Final answer
    x = 252.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.